Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4106
Abstract: In this paper, we consider a class of nonlinear fractional differential equations on the infinite interval D0+αu(t)+ft,u(t),D0+α−1u(t)=0,t∈(0,+∞), with the integral boundary conditions u(0)=0,D0+α−1u(∞)=∫0τg1(s)u(s)ds+a,D0+α−2u(0)=∫0τg2(s)u(s)ds+b. By using Krasnoselskii fixed point theorem, the existence results of positive solutions… read more here.
Keywords: infinite interval; positive solutions; integral boundary; fractional differential ... See more keywords
Non-injectivity of infinite interval exchange transformations and generalized Thue-Morse sequences
Sign Up to like & getrecommendations! Published in 2023 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2023048
Abstract: In this paper we study the non-injectivity arising in infinite interval exchange transformations. In particular, we build and analyze an infinite family of infinite interval exchanges semi-conjugated to generalized Thue-Morse subshifts, whose non-injectivity occurs at… read more here.
Keywords: exchange transformations; non injectivity; interval exchange; generalized thue ... See more keywords